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Cited by 240Cardiovascular Function and Risk FactorsCardiomyopathy and Myosin StudiesElasticity and Material Modeling

Fiber Orientation and Ejection Fraction in the Human Left Ventricle

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Sallin, Edward A.·1969·Biophysical Journal
DOI 10.1016/s0006-3495(69)86429-5PMC PMC1367490
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Abstract

Fiber orientation and ventricular geometry are incorporated in a mathematical model for ejection fraction of the human left ventricle. The inadequacy of circularly oriented or "constrictor" fibers to explain high ejection fractions of cylindrical, spherical, or ellipsoidal reference ventricles is demonstrated. A class of "helical" fibers is then introduced from which ejection fractions predicted by physiologic amounts of fiber shortening on cylindrical and ellipsoidal reference ventricles are shown to be consistent with those calculated from biplane angio-cardiographic films.

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Crossref · 10.1016/s0006-3495(69)86429-5

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  • The deformation results were consistent with previous analytical and computational models in showing more homogeneous deformations for HA ventricles.

    “Overall, these results were consistent with the projections of previous analytical and computational models (3, 25, 36) in that they showed more-homogeneous deformations for HA ventricles.”

    From Recreating the heart's helical structure-function relationship with focused rotary jet spinning (2022) · cites this paper as [3]

    The Discussion (page unavailable) identifies this as a mathematical model of helically arranged ventricular fibers and reports predicted ejection fractions. It does not report that helical-fiber ventricles deform more homogeneously than a comparator, so the attributed projection about deformation homogeneity is unsupported. (LLM, conf=0.78)

    Experimental — accuracy not yet measured

  • It has been predicted that EFs should scale as 1 - k2 for CA ventricles and 1 - k2 q H(α) for HA ventricles, with k strain along fiber axis, q apical shortening, H(α) radial shortening based on helical angle.

    “It has been predicted that EFs should scale as 1 – k2 for CA ventricles (eq. S5) and 1 - k2 q H(α) for HA ventricles (eq. S15) (Fig. 2D) (3), with k being the strain along the fiber axis, q being the apical shortening, and H(α) being the radial shortening based on the fiber’s helical angle (eqs. S5 to S15).”

    From Recreating the heart's helical structure-function relationship with focused rotary jet spinning (2022) · cites this paper as [3]

    The Abstract’s Fig. 2 text gives EF = 1 − k² for a cylindrical ventricle with circular fibers. The Cylinder section models helical fibers using k as the final-to-initial fiber-length ratio and q as the final-to-initial cylinder-height ratio, but gives a different EF expression involving geometry and a helix parameter; it does not give the claimed H(α) expression. Page numbers are unavailable in our copy. (LLM, conf=0.84)

    Experimental — accuracy not yet measured

  • Helically aligned ventricles were hypothesized to display increased apical shortening and reduced basal displacement owing to differences in myofiber lengths.

    “It has been hypothesized that HA ventricles would display increased apical shortening (3, 36) and reduced basal displacement (9, 36), owing to differences in myofiber lengths.”

    From Recreating the heart's helical structure-function relationship with focused rotary jet spinning (2022) · cites this paper as [3]

    The Cylinder section (page unavailable) models helical fibers and permits apex-to-base shortening during systole. It does not predict increased apical shortening or reduced basal displacement, or explain such a difference by differing myofiber lengths. (LLM, conf=0.82)

    Experimental — accuracy not yet measured

  • Sallin's model predicted an EF increase of 54 to 64% for HA ventricles, which was consistent with the authors' experimental observations within the standard error of the mean.

    “Sallin’s model predicted an EF increase of 54 to 64% for HA ventricles, which was consistent with our experimental observations (within the standard error of the mean; Fig. 3E).”

    From Recreating the heart's helical structure-function relationship with focused rotary jet spinning (2022) · cites this paper as [3]

    The Discussion (page unavailable) calculates an ejection fraction of 0.612 for one helical-fiber model configuration and says that prediction is consistent with observations reported by Ross et al. It does not report a 54–64% increase in EF for HA ventricles. The citing authors’ comparison with their own observations, including the standard-error qualification, is not established by this source. (LLM, conf=0.85)

    Experimental — accuracy not yet measured

  • The biomechanics of the single-layer ventricle models is consistent with theoretical predictions from the past 50 years.

    “showing that the biomechanics of these single-layer ventricle models is consistent with theoretical predictions from the past 50 years (3, 4, 25).”

    From Recreating the heart's helical structure-function relationship with focused rotary jet spinning (2022) · cites this paper as [3]

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Cites

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Research works printed but not linked: 2

  1. [6]6. STREEIER, JR., D. D., H. M. SpoTmTz, D. J. PATEL, J. Ross, JR., and E. H. SONNENBLICK. 1969. Circ. Res. 24(3):339.
  2. [7]7. DODGE, H. T., H. SANDLER, W. A. BAXLEY, and R. R. HAWLEY. 1966. Amer. J. Cardiol. 18(1):10.

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Authors
Sallin, E. A.
Affiliations
University of Alabama (US)
Corresponding author
Sallin, Edward A.
Venue
Biophysical Journal
Publisher
Elsevier BV
Published
1969-07
Volume
9
Issue
7
Pages
954-964
ISSN
0006-3495 (ISSN-L)
DOI
10.1016/s0006-3495(69)86429-5
PMC
PMC1367490
OpenAlex
W1994976809
Cited by
240
References
8
Citations by year
2026: 5 · 2025: 9 · 2024: 9 · 2023: 9 · 2022: 12 · 2021: 5 · 2020: 10 · 2019: 7 · 2018: 12 · 2017: 18 · 2016: 10 · 2015: 8 · 2014: 12 · 2013: 5 · 2012: 7
FWCI
2.66
Type
journal article
Language
en
Open access
Licence
Locations
  • Biophysical Journal (publishedVersion)
  • PubMed Central (publishedVersion)
  • PubMed (publishedVersion)
Topics
  • Health Sciences › Medicine › Cardiology and Cardiovascular Medicine › Cardiovascular Function and Risk Factors
  • Health Sciences › Medicine › Cardiology and Cardiovascular Medicine › Cardiomyopathy and Myosin Studies
  • Physical Sciences › Engineering › Biomedical Engineering › Elasticity and Material Modeling
Keywords
left ventricle, ejection fraction, myocardial fiber orientation, helical fibers, ventricular geometry, fiber shortening
MeSH terms
Heart, Models, Biological, Ventricular Function

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